Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations

Abstract

The origin of the pseudogap behavior, found in many high-$T_c$ superconductors, remains one of the greatest puzzles in condensed matter physics. One possible mechanism is fermionic incoherence, which near a quantum critical point allows pair formation but suppresses superconductivity. Employing quantum Monte Carlo simulations of a model of itinerant fermions coupled to ferromagnetic spin fluctuations, represented by a quantum rotor, we report numerical evidence of pseudogap behavior, emerging from pairing fluctuations in a quantum-critical non-Fermi liquid. Specifically, we observe enhanced pairing fluctuations and a partial gap opening in the fermionic spectrum. However, the system remains non-superconducting until reaching a much lower temperature. In the pseudogap regime the system displays a "gap-filling" rather than "gap-closing" behavior, consistent with experimental observations. Our results provide the first unambiguous lattice model realization of a pseudogap state in a strongly correlated system, driven by superconducting fluctuations.

9+14 pages, 4+13 figures

References in corpus (18)

• Evidence for unconventional superconductivity in twisted bilayer graphene
• Are non-Fermi-liquids stable to Cooper pairing?
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Giant superconducting fluctuations in the compensated semimetal FeSe at the BCS-BEC crossover
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• The Origin and Non-quasiparticle Nature of Fermi Arcs in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Instabilities near the onset of spin density wave order in metals
• Identifying the maximum entropy method as a special limit of stochastic analytic continuation
• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• Quantum critical properties of a metallic spin density wave transition
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States
• Interplay between superconductivity and non-Fermi liquid at a quantum critical point in a metal. II. The $\gamma$-model at a finite $T$ for $0<\gamma <1$
• Dynamical properties of collective excitations in twisted bilayer Graphene
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates

Cited by in corpus (13)

• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Superconductivity and bosonic fluid emerging from Moiré flat bands
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Phase fluctuations in two-dimensional superconductors and pseudogap phenomenon
• Different temperature-dependence for the edge and bulk of entanglement Hamiltonian
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Classical fully-packed loop model with attractive interactions on the square lattice
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal